Computations in Higher Types - download pdf or read online

By J. Moldestad

ISBN-10: 3540081321

ISBN-13: 9783540081326

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K. Warby, D. M. Hough: The treatment of corner and pole-type singularities in numerical conformal mapping techniques. J. Comput. Appl. Math. V. Maymeskul et al. 20. M. K. Warby: BKMPACK User’s Guide, Technical Report. Dept of Maths and Stats. : Brunel Univ. 1992 21. S. E. Warschawski: On a theorem of L. Lichtenstein. Pacific J. Math. , a Jordan domain in the complex plane C boundary L. Ω The complement of G. D(z, r) Open disk centered at z and of the radius r. ID The unit disk. , conformal and univalent map of the domain G onto D (0, r0 ) normalized by f0 (z0 ) = 0, f0 (z0 ) = 1.

13) are given explicitly in terms of sines and cosines of the opening angle απ. 17). 21) πn (z) = 535 z 1 Kn (1, 1) Kn (ζ, 1)dζ. 19). 4]. g. [8, p. 25]. 21), by using a number of test points on the boundary L. 2). V. Maymeskul et al. 11) of f0 near τ1 = 0 are different from 0 (cf. 26) En,2 (f0 , Gα ) , En,∞ (f0 , Gα ) . 27) |Pn (ζ)| |Pn (ζ)| 1 . n For the remainder of this section we present numerical results that illustrate the laws in the above errors and rates. All the results were obtained with Maple V, using the systems facility for 128-digit floating point arithmetic, on an IBM RS/6000.

N. Papamichael, M. K. Warby, D. M. Hough: The treatment of corner and pole-type singularities in numerical conformal mapping techniques. J. Comput. Appl. Math. V. Maymeskul et al. 20. M. K. Warby: BKMPACK User’s Guide, Technical Report. Dept of Maths and Stats. : Brunel Univ. 1992 21. S. E. Warschawski: On a theorem of L. Lichtenstein. Pacific J. Math. , a Jordan domain in the complex plane C boundary L. Ω The complement of G. D(z, r) Open disk centered at z and of the radius r. ID The unit disk.

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Computations in Higher Types by J. Moldestad


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